Development of an exhaust hood

Development-pattern of an exhaust hood in the shape of a truncated pyramid

X - Width of the bottom base.
Y - Height of the pyramid.
F - Upper base length.
E - Width of the top base.
G - The length of the side face of the pyramid. Apofema.
U - The angle of inclination of the pyramid.

Online payment options.

The calculator allows you to calculate the parameters of a tetrahedral truncated pyramid with a rectangular base. This is useful for calculating exhaust hoods for ventilation, a hood for a kitchen or barbecue, or an hood for a chimney pipe.

How to use the calculation.

Select the dimensions by which the calculation will be made. Give the known dimensions and angles of the pyramid. Click the Calculate button. As a result of the calculation, drawings of the cap pattern are generated.
The drawings show the dimensions of individual parts for the pattern of a truncated pyramid.
Drawings are also generated: front view and side view.

If the size of E is equal to the size of F, then there will be a regular truncated pyramid.
If the dimensions are E=0 and F=0, then there will be a regular pyramid.

As a result of the calculation, you can find out:

The angle of inclination of the pyramid, if it was not known.
Cutting angles on the development.
The area of ​​the top and all side surfaces.
Surface area of ​​the bottom base.
Volume of the pyramid.
Workpiece sheet dimensions.

Attention. Don't forget to add allowances for the folds to connect the parts of the hood.